114791414401 has 2 divisors, whose sum is σ = 114791414402. Its totient is φ = 114791414400.

The previous prime is 114791414359. The next prime is 114791414447. The reversal of 114791414401 is 104414197411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102822835600 + 11968578801 = 320660^2 + 109401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114791414401 is a prime.

It is a super-2 number, since 2×114791414401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114791414461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57395707200 + 57395707201.

It is an arithmetic number, because the mean of its divisors is an integer number (57395707201).

Almost surely, 2^114791414401 is an apocalyptic number.

It is an amenable number.

114791414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114791414401 is an equidigital number, since it uses as much as digits as its factorization.

114791414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 114791414401 in words is "one hundred fourteen billion, seven hundred ninety-one million, four hundred fourteen thousand, four hundred one".